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We address the effect of disorder geometry on the critical force indisordered elastic systems. We focus on the model system of a long-rangeelastic line driven in a random landscape. In the collective pinning regime, wecompute the critical force perturbatively. Not only our expression for thecritical force confirms previous results on its scaling with respect to themicroscopic disorder parameters, it also provides its precise dependence on thedisorder geometry (represented by the disorder two-point correlation function).Our results are successfully compared to the results of numerical simulationsfor random field and random bond disorders.

Effect of disorder geometry on the critical force in disordered elastic systems